How does the total surface area of a box change if each dimension is

1.	How does the total surface area of a box change if each dimension is tripled ?
Answer» Let the original and changed dimensions are l, b, h and 31, 3b, 3h Original T.S.A. = 2 (lb + bh + lh) Changed T.S.A = 2 (3l . 3b + 3b . 3h + 3l. 3h) Changed T S.A. = 2 (9lb + 9bh + 9lh) = 9 × [2 (lb + bh + lh)] = 9 [original T.S.A.] Thus original T.S.A. increased by 9 times if each dimension is tripled.

How does the total surface area of a box change if each dimension is tripled ?

Answer»

Let the original and changed dimensions are l, b,

h and 31, 3b, 3h

Original T.S.A. = 2 (lb + bh + lh)

Changed T.S.A

= 2 (3l . 3b + 3b . 3h + 3l. 3h)

Changed T S.A. = 2 (9lb + 9bh + 9lh)

= 9 × [2 (lb + bh + lh)]

= 9 [original T.S.A.]

Thus original T.S.A. increased by 9 times if each dimension is tripled.